Intersection theory on moduli of smooth complete intersections

2022/01/16 by Andrea Di Lorenzo, Di Lorenzo, Andrea · 1 citation
Computer Science · Mathematics · #14C15 #14D23 #14H10 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra and Its Applications #FOS: Mathematics #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2201.06024

openalex publication_date 2022/01/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a general method for computing rational Chow rings of moduli of smooth complete intersections. We specialize this result in different ways: to compute the integral Picard group of the associated stack ; to obtain an explicit presentation of rational Chow rings of moduli of smooth complete intersections of codimension two; to prove old and new results on moduli of smooth curves of genus ≤ 5 and polarized K3 surfaces of degree ≤ 8.

Cited by

• Torsion order and irrationality of complete intersections

Related

• Geometry of Rational Curves on Low degree Complete Intersections
• Rational curves on complete intersections in positive characteristic
• Questions on the Chow ring of complete intersections
• The intersection theory of the moduli stack of vector bundles on ℙ¹
• Chow ring of moduli spaces of quasi-polarised K3 surfaces in lower genus